### Questions (15)

 2 How to prove the discontinuity and differentiability of a distance function? 1 A metric space question and doubt about the incorrect options. 1 How to check the differentiability of $|\cos x|+|\sin(2-x)|$? 0 How to check that the following function is differentiable? 0 Confusion about whether a supremum of a set can be a limit point if it belongs to the set.

### Reputation (81)

 +10 How to prove the discontinuity and differentiability of a distance function? +8 Confusion about whether a supremum of a set can be a limit point if it belongs to the set. +8 How to find that the following set is connected and compact or not? +10 A metric space question and doubt about the incorrect options.

 0 Let $f,g$ be functions such that $(g\circ f)(x)=x$ for all $x \in D(f)$ and $(f\circ g)(y)=y$ for all $y \in D(g)$, prove that $g=f^{-1}$ 0 What is the value of a? 0 Two functions discontinuous, but sum continuous

### Tags (22)

 0 derivatives × 4 0 convergence-divergence × 2 0 continuity × 3 0 complex-analysis × 2 0 general-topology × 3 0 functions × 2 0 real-analysis × 3 0 complex-numbers 0 matrices × 2 0 connectedness

### Bookmarks (1)

 0 How to solve the following Riemann Integration problem

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